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stevenabdullatif16
23.12.2020 •
Mathematics
A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs because they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
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Ответ:
the margin of error for this interval is 0.049
Step-by-step explanation:
The computation of the margin of error for this interval is shown below;
Given that
n = 400
x = 200
Now
p = x ÷ n = 200 ÷ 400 = 0.5
Now the margin of error is
=![z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }](/tpl/images/1006/1294/9fdfe.png)
= 0.049
Hence the margin of error for this interval is 0.049
Ответ:
D
Step-by-step explanation:
10*20=200
200 + 1020= 1220
Works for the first one
20*20=400
400+ 1020=1420
Works for the second one
30*20=600
600+1020=1620
Works for the third one, and all the others one so forth.
You take the number on the left (10, 20, 30, 40, 50, 60, 70) and times it by 20, replacing the x in the equation with the number on the left side of the table. Then you add the number from said equation to result of the multiplication from the first step.